10312212240 has 480 divisors, whose sum is σ = 40312276992. Its totient is φ = 2334720000.

The previous prime is 10312212233. The next prime is 10312212271. The reversal of 10312212240 is 4221221301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25716040 + ... + 25716440.

Almost surely, 2^10312212240 is an apocalyptic number.

10312212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20156138496).

10312212240 is an abundant number, since it is smaller than the sum of its proper divisors (30000064752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312212240 is a wasteful number, since it uses less digits than its factorization.

10312212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10312212240 its reverse (4221221301), we get a palindrome (14533433541).

The spelling of 10312212240 in words is "ten billion, three hundred twelve million, two hundred twelve thousand, two hundred forty".